Scalene Triangle

A triangle is a figure which has three sides and three angles, and the sum of all the three internal angles is always 180 degrees. There are three types of triangles namely – Equilateral, Isosceles and Scalene triangle.

Scalene Triangle is a figure where all the three sides have different lengths and none of the three internal angles are equal.

Perimeter of a Scalene Triangle

The formula to find the perimeter of a Scalene triangle is same like any triangle i.e. Sum of the lengths of the triangle.

Example 1 – Find the perimeter of the following triangle

Scalene Triangle

Solution –

Perimeter of the triangle = 15 + 34 + 32 = 81 cm

Area of a Scalene Triangle-

Consider a triangle having lengths of their sides to be a,b,c, and \(h_{b}\) be the height of a triangle

Scalene Triangle

The area of a scalene triangle is calculated as half of it base and height.

\(Area = \frac{1}{2} \times base \times height\)

Example 2 – Find the area of a scalene triangle whose height is 12 cm and base is 9 cm

Solution –  We know,

\(Area (A) = \frac{1}{2} \times base \times height\)

\(A = \frac{1}{2} \times 9 \times 12\)

\(A = 9 \times 6\)

\(A = 54 \; cm^{2}\)<

This was all about Scalene triangle. Learn more about different types of properties of triangle, Similar triangles, Congruence of Triangle, visit BYJU’S.


Practise This Question

Sarosh comes home from the office at 8 o' clock. The angle between the hour hand and minute hand when he reaches home is: